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Sauron [17]
3 years ago
5

If x = -6, which inequality is true, -5 - 3x > 10, -3 - 5x < -14 or 2-x < -3?

Mathematics
1 answer:
aniked [119]3 years ago
6 0
If x = -6
we can subtitution x to every inequality, so :
-5 - 3x > 10
-5 - 3(-6) > 10
-5 - (-18) > 10
-5 + 18 > 10
13 > 10 [true]

-3 - 5x < -14
-3 - 5(-6) < -14
-3 - (-30) < -14
-3 + 30 < -14
27 < -14 [false]

2 - x < -3
2 - (-6) < -3
2 + 6 < -3
8 < -3 [false]

So if x=-6, inequality true is -5 - 3x > 10.
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can someone help me understand this, please? For some reason my answer is correct but I need to understand how did I found the c
Morgarella [4.7K]

Answer with step-by-step explanation:

The way the question is worded, this actually shouldn't be correct. The correct answer should be 3:4.

Because the trapezoids are similar, we can find the ratio of their perimeters by actually just finding the ratio of their sides.

Why?

By definition, the corresponding sides of a polygon are in a constant proportion. The perimeter is simply the sum of all sides of the polygon. Since we're just adding the sides, the proportion will still be maintained.

Therefore, we'll just need to ratio of their corresponding sides. The only two corresponding sides that are marked are \overline{RS} and \overline{AB}.

The ratio of \overline{RS}:\overline{AB} is 18:24\implies \boxed{3:4}.

The reason why it ideally should be 3:4 and not 4:3 is because the question states RTSU\sim ABCD, which mentions RSTU first, so our answer should follow this respective order. I believe you were marked right anyways because the specific order is not specified, but generally, you want to give your answer respectively by default.

3 0
2 years ago
If x = -6, which inequality is true?
lakkis [162]

Answer:

D

Step-by-step explanation:

8 0
2 years ago
Josie and her brothers and sisters measured their heights and found the mean averageThe mean was 150cmJosie forgot her height. C
Andrei [34K]

Answer:

135 cm

Step-by-step explanation:

Let Jose's height = x

The mean of their heights = 150

Given the Heights:

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The mean is the sum if the heights divided by the number of people

Here :

(150 + 170 + 140 + 155 + x) / 5 = 150

(615 + x) / 5 = 150

615 + x = 750

x = 750 - 615

x = 135 cm

8 0
3 years ago
How many sixths are there in 6 1/3
trasher [3.6K]
1/3=2/6 so
6=36/6 and you add 2/6 and 36/6 to get 38/6 or 19/3
Or 38 sixths
7 0
3 years ago
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Answer:

417

Step-by-step explanation:

HOPE THAT HELPED

7 0
3 years ago
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